show that ab = xy.
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GIVEN: In fig. AC=XD, C and D is the mid point of AB and XY respectively.
TO PROVE: AB=XY
PROOF: In fig.
AC=XD...........1
C is mid point of AB
therefore AC=CB..........2
D is mid point of XY
therefore XD=DY.............3
From 1 and 2
CB=XD........4 (AC =BC)
From 1 and 3
AC=DY........5. (XD=YD)
on adding 4 and 5
AC+BC=XD+DY
=>AB=XY
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